Chapter 8.1, Problem 3CYU

To determine

Whether relation is a function.

Answer to Problem 3CYU

The given relation is not a function.

Explanation of Solution

Given:

  

Calculation:

Consider the given graph

Need to find whether above relation is function

Indicate the points as shown below

  

X coordinates and Y coordinates are shown below

  $\begin{array}{l}14\\ 37\\ 42\\ 60\\ 75\end{array}$

Recall that functions are relations in which each element of the domain is paired with exactly on element of the range.

In this case, it is not a function because 3 in the domain value is paired with two range values 4 and 7.

Conclusion:

Therefore, given relation is not a function.